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Finding the Fourth Proportional to 5,137.99, 7,091.10 and 3,815.47

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Solution

The fourth proportional to 5,137.99, 7,091.10 and 3,815.47 is: 5,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.99 : 7,091.10 = 3,815.47 : x
  2. Step 2: Convert to fraction form
    5,137.99/7,091.10 = 3,815.47/x
  3. Step 3: Cross multiply
    5,137.99x = 7,091.10 × 3,815.47
  4. Step 4: Simplify right side
    5,137.99x = 27,055,879.32
  5. Step 5: Solve for x
    x = 27,055,879.32/5,137.99
  6. Step 6: Final answer
    x = 5,265.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.